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Finding the Fourth Proportional to 10,221.08, 15,330.08 and 2,823.95

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Solution

The fourth proportional to 10,221.08, 15,330.08 and 2,823.95 is: 4,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.08 : 15,330.08 = 2,823.95 : x
  2. Step 2: Convert to fraction form
    10,221.08/15,330.08 = 2,823.95/x
  3. Step 3: Cross multiply
    10,221.08x = 15,330.08 × 2,823.95
  4. Step 4: Simplify right side
    10,221.08x = 43,291,288.65
  5. Step 5: Solve for x
    x = 43,291,288.65/10,221.08
  6. Step 6: Final answer
    x = 4,235.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.